To make room for Bracho, the D-backs optioned right-hander Zack Godley to Reno.
Godley, who had been with the club for two weeks, won his lone start on June 11 and then made four relief appearances. He posted a 4.35 ERA over 10 1/3 innings. The team would like Godley to remain a starter, so he will go back into the rotation at Reno.
This is Bracho's fourth stint with the D-backs this year. Prior to pitching a scoreless inning in Saturday's 11-6 loss, he had appeared in six games, compiling a 7.50 ERA.
Steve Gilbert has covered the D-backs for MLB.com since 2001. Follow him on Twitter @SteveGilbertMLB. This story was not subject to the approval of Major League Baseball or its clubs.